Exam 1 questions
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This document contains 20 multiple choice questions testing mathematical and geometric concepts. The questions cover topics such as algebra, ratios, geometry, probability, and word problems involving time, money, or other quantitative relationships. Possible answer choices ranging from a-e are provided for each question.
Exam 1 questions
- 1. Section 1 1. If the expression ᎏ 2 + 3 x ᎏ = ᎏ x 2 – x 5 ᎏ, then one possible value of x could be a. –1. b. –2. c. –5. d. 1. e. 2. 2. In the graph above, ABCD is a square. What are the coordinates of point B? a. (–1,–4) b. (–1,4) c. (–1,6) d. (–3,1) e. (–3,4) 3. Line y = ᎏ 2 3 ᎏx – 5 is perpendicular to line a. y = ᎏ 2 3 ᎏx + 5. b. y = 5 – ᎏ 2 3 ᎏx. c. y = –ᎏ 2 3 ᎏx – 5. d. y = ᎏ 3 2 ᎏx – 5. e. y = –ᎏ 3 2 ᎏx + 5. (–1,–3) (6,4) y D B C A x –PRACTICE TEST 1– 177
- 2. 4. If 30% of r is equal to 75% of s, what is 50% of s if r = 30? a. 4.5 b. 6 c. 9 d. 12 e. 15 5. A dormitory now houses 30 men and allows 42 square feet of space per man. If five more men are put into this dormitory, how much less space will each man have? a. 5 square feet b. 6 square feet c. 7 square feet d. 8 square feet e. 9 square feet 6. Rob has six songs on his portable music player. How many different four-song orderings can Rob create? a. 30 b. 60 c. 120 d. 360 e. 720 7. The statement “Raphael runs every Sunday” is always true. Which of the following statements is also true? a. If Raphael does not run, then it is not Sunday. b. If Raphael runs, then it is Sunday. c. If it is not Sunday, then Raphael does not run. d. If it is Sunday, then Raphael does not run. e. If it is Sunday, it is impossible to determine if Raphael runs. –PRACTICE TEST 1– 178
- 3. 8. In the diagram above, lines EF and GH are parallel, and line AB is perpendicular to lines EF and GH. What is the length of line AB? a. 5 b. 5͙2ෆ c. 5͙3ෆ d. 10͙2ෆ e. 10͙3ෆ 9. The expression ᎏ ( ( x x 2 2 + + 2 4 x x – – 1 2 5 1 ) )ᎏ is equivalent to a. ᎏ 5 7ᎏ. b. x + 5. c. ᎏ x x + + 5 7ᎏ. d. ᎏ 2x – – 5 7 ᎏ. e. ᎏ 2 4 x x – – 1 2 5 1ᎏ. 10. The point (2,1) is the midpoint of a line with endpoints at (–5,3) and a. (–3,4). b. (–7,2). c. (7,1). d. (9,–1). e. (–10,3). 11. Lindsay grows only roses and tulips in her garden. The ratio of roses to tulips in her garden is 5:6. If there are 242 total flowers in her garden, how many of them are tulips? a. 22 b. 40 c. 110 d. 121 e. 132 120˚ 10 D A E F G B C H –PRACTICE TEST 1– 179
- 4. 12. It takes eight people 12 hours to clean an office. How long would it take six people to clean the office? a. 9 hours b. 15 hours c. 16 hours d. 18 hours e. 24 hours 13. Greg has nine paintings. The Hickory Museum has enough space to display three of them. From how many different sets of three paintings does Greg have to choose? a. 27 b. 56 c. 84 d. 168 e. 504 14. If the surface area of a cube is 384 cm2, what is the volume of the cube? a. 64 cm3 b. 256 cm3 c. 512 cm3 d. 1,152 cm3 e. 4,096 cm3 15. In the diagram above, what is the sum of the measures of the angles x, y, and z? a. 180 degrees b. 360 degrees c. 540 degrees d. 720 degrees e. cannot be determined x y z –PRACTICE TEST 1– 180
- 5. 16. Given the following figure with one tangent and one secant drawn to the circle, what is the measure of angle ADB? a. 50 degrees b. 85 degrees c. 60 degrees d. 110 degrees e. 25 degrees 17. D C A B 110˚ 60˚ –PRACTICE TEST 1– 181 COST OF BALLONS QUANTITY PRICE PER BALLOON 1 $1.00 10 $0.90 100 $0.75 1,000 $0.60 Balloons are sold according to the chart above. If a customer buys one balloon at a time, the cost is $1.00 per balloon. If a customer buys ten balloons at a time, the cost is $0.90 per balloon. If Carlos wants to buy 2,000 balloons, how much money does he save by buying 1,000 balloons at a time rather than ten balloons at a time? a. $200 b. $300 c. $500 d. $600 e. $800
- 6. 18. If ᎏ a c b ᎏ = d, and a and c are doubled, what happens to the value of d? a. The value of d remains the same. b. The value of d is doubled. c. The value of d is four times greater. d. The value of d is halved. e. The value of d is four times smaller. 19. In the diagram above, line OA is congruent to line OB. What is the measure of arc CD? a. 27.5 degrees b. 55 degrees c. 70 degrees d. 110 degrees e. 125 degrees 20. The expression is equivalent to a. 2͙2ෆ. b. . c. . d. . e. .2x͙2ෆ ᎏ ͙xෆ x͙2ෆ ᎏ ͙xෆ 2͙2ෆ ᎏ ͙xෆ ͙2ෆ ᎏ 2 x͙32ෆᎏ ͙4xෆ A C B D O 55˚ –PRACTICE TEST 1– 182